Lectures on Cyclic Homology : Published for the Tata Institute of Fundamental Research (Tata Institute Lectures on Mathematics and Physics S.)

Husemoller, Dale

Springer-Verlag Berlin and Heidelberg GmbH & Co. K（1992/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 109 p.
• 言語 ENG
• 商品コード 9783540546672
• DDC分類 514

Full Description

This book is a basic introduction to cyclic homology, divided into three parts. The first, chapters 1 and 2, is background material on exact couples and Hochschild homology for the beginning reader. In chapters 3, 4 and 5 three definitions of cyclic homology are considered, its variance under Morita equivalence, its relation to Lie algebra homology, and the Connes' B operator. The third part, chapters 6 and 7, relates cyclic homology to differential forms and shows how the Chern character takes values in cyclic homology. Included is the classical Hochschild-Kostant-Rosenberg theorem relating differential forms to Hochschild homology.